Geometry and analysis

Our research interests in geometry include:

• differential geometry, including harmonic maps and sections
• variational theory of riemannian g-structures
• minimal surfaces and harmonic maps related to integrable systems or Higgs bundles; moduli spaces of equivariant minimal surfaces
• geometric group theory, including the interplay between groups and manifolds, particularly in hyperbolic geometry 
• geometric invariant theory including the theory of invariants of linear algebraic groups acting on algebraic varieties
• moduli spaces appearing in gauge theory as symplectic and hyperkahler quotients.

Our analysts are active in functional analysis, operator theory, harmonic analysis and in applications of analysis to integral and differential equations and signal processing. We also have expertise in probabilistic methods in dynamical systems and ergodic theory.

We enjoy a vibrant research community and offer a range of PhD opportunities.

People

There is more information available about the department's research community members, including potential PhD supervisors, on our complete staff and PhD student listing.